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x=7x+3/2x-5
We move all terms to the left:
x-(7x+3/2x-5)=0
Domain of the equation: 2x-5)!=0We get rid of parentheses
x∈R
x-7x-3/2x+5=0
We multiply all the terms by the denominator
x*2x-7x*2x+5*2x-3=0
Wy multiply elements
2x^2-14x^2+10x-3=0
We add all the numbers together, and all the variables
-12x^2+10x-3=0
a = -12; b = 10; c = -3;
Δ = b2-4ac
Δ = 102-4·(-12)·(-3)
Δ = -44
Delta is less than zero, so there is no solution for the equation
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